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RD SHARMA ENGLISH-FUNCTION-All Questions
- If f:[0,oo)vecRa n dg: RvecR be defined as f(x)=sqrt(x) and g(x)=-x^2-...
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- Let f and g be real functions defined by f(x)=x/(x+1) a n d g(x)=1/(x...
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- If f(x)=sqrtx(x > 0) and g(x)=x^2-1 are two real functions, find fog a...
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- Let f: N-[1]vecN be defined by, f(n)= the highest prime factor ofn . S...
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- If f: Rvec is defined by f(x)=2x+7. Prove that f is a bijection. Also,...
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- If f:(-pi/2,pi/2)->R and g:[-1,1]->R be defined as f(x)=tanx a...
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- If f(x)=sin^2x+sin^2(x+pi/3)+cosxcos(x+pi/3)a n dg(5/4)=1, then (gof)...
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- Let f,g: R-R be two functions defined as f(x)=|x|+x and g(x)=|x|-x , f...
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- Let A={a,b,c,d} and f :A->A be given by f={(a,b),(b,d),(c,a),(d,c)} , ...
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- Let f={(3,1),(9,3),(12 ,4)} and g={(1,3),(3,3),(4,9),(5,9)}dot Show th...
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- If F :[1,oo)->[2,oo) is given by f(x)=x+1/x ,t h e n \ f^(-1)(x) equal...
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- Let f: RrarrR and g: RrarrR be two functions such that fog(x)=sinx^2...
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- Let R be the set of real numbes. If f: RvecR ;f(x)=x^2 and g: RvecR ;g...
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- If f(x)=-4-(x-7)^3 , write f^(-1)(x)dot
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- If f:{5,6}vec{2,3}a n dg:{2,3},vec{5,6} are given by f={(5,2),(6,3)} a...
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- If a function g={(1,1),(2,3),(3,5),(4,7)} is described by g(x)=alphax+...
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- Show that f: R-[0]->R-[0] given by f(x)=3/x is invertible and it is in...
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- Let A={1,2,..., n} and B={a , b }. Then number of surjections from A...
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- If f: Rvec (-1,1) is defined by f(x)=-(x|x|)/(1+x^2),t h e nf^(-1)(x...
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- Let f: ZrarrZ be defined by f(n)=3n for all n in Z and g: ZrarrZ be d...
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